Answer:
The general formula for nth term of given sequence is:

Step-by-step explanation:
Given sequence is:
54,18,6.....
In order to write the general formula of a sequence, first of all the common ratio has to be found. Common ratio is the ratio between consecutive terms of a geometric sequence.

The general formula is:

Putting the values of a1 and r

Hence,
The general formula for nth term of given sequence is:

Answer:
6.5
Step-by-step explanation:

We have been given that the diameter of a smaller circle is 7 km and the width of the circular path is 0.5 km. We are asked to find the area of the path.
The area of the path will be equal to area of larger circle minus area of smaller circle.
, where r represents radius of circle.
We know that radius is half the diameter, so radius of smaller circle would be
km.
The radius of the larger circle will be radius of smaller circle plus width of the path that is
km.





Therefore, the area of the circular path is approximately 11.8 square km.